Alejandro is making ballots for an election. He cuts a single piece of paper in in half making 1 into 2...He stacks the sheets and cuts them again making 2 into 4 stacks and cuts again making 8 and so on.

2 x 2 x 2 x 2 x 2 = 32 2^5 OR "2 TO THE 5TH POWER"

A. Cut a sheet of paper as Alejandro did, and count the ballots after each cut. Make a table to show the number of ballots after I cut, 2 cuts, 3 cuts, and so on.

1st cut = 2 ballots 2nd cut = 4 ballots 3rd cut = 8 ballots

B. Look for a pattern in the way the number of ballots changes with each cut. Use your observations to extend your table to show the number of ballots for up to 10 cuts.